Dynamics in systems of pipes with different movements in its ends
Main Article Content
Keywords
influence matrix, modal analysis, spectral analysis, characteristic values and vectors, factor of modal participation, spectral acceleration and vector of normal coordinates principles
Abstract
In this document a method of dynamic analysis of systems of pipes with different movements in the ends sets out. This methodology takes the response spectrum corresponding to each one of the supports, and to compare it with the method of simple answer, that it uses a surrounding one in the response spectrum of the different supports is the classic one, in this last one they are not preservative, as it is possible to be noticed in the table of results of the considered problem. Therefore, the usual practice to consider the surrounding one of spectrum will not be a recommendable solution. Also the use of the consistent masses or distributed, and not discreet or concentrated them, as normally it is made, and in addition it is become attached but to the reality.
PACS: 93.85.Tf, *91.30.P-, 91.30.Px
Downloads
References
[2] M. Amin, W. J. Hall, N. M. Newmark and R. P. Kassawara. Earthquake response of multiple connected light secondary systems by spectrum methods. ASME (American Society of Mechanical Engineers), First National Congress Pressure Vessel and Piping Technical, 1971.
[3] D. E. Shaw. Seismic structural response analysis for multiple support excitation. SMIRT–3 Conf, 1975.
[4] K. M. Vashi. Seismic spectral analysis of structural systems subject to nonuniform excitation at support . ASCE (American Society of Civil Engineers), Second Specialty Conference on Structural Design of Nuclear Plant Facilities, 1–a, 188–216 (1975).
[5] M. C. Lee and T. Penzien. Stochastic seismic analysis of nuclear power plantstructure and piping systems subjected to multiple support excitations. Report N◦ UBC/EERC–80/19, Earthquake Engineering Research Center, University of California, 1980.
[6] Takeru Igusa and Armen der Kiureghian. Dynamic analysis of multiply tuned and arbitrarily supported secondary systems. Report N◦ UBC/EERC–83/07, Earthquake Engineering Research Center, University of California, 1983
[7] S. H. Crandall and W. D. Mark. Random vibration of mechanical systems. Academic Press, New York, 1963.
[8] T. W. Pickel. Evaluation of nuclear system requeriments for accommodating seismic effects. Nuclear Engineering and Design, 20(2), 323–337 (1972).
[9] Armen Der Kiureghian, Jerome Sackman and B. Nour–Omid. Dynamic response of light equipment in structures. Report N◦. UBC/EERC–81/05, Earthquake Engineering Research Center, University of California, 1981.
[10] Alejandro Asfura and Armen Der Kiureghian. Floor response spectrum method for seismic analysis of multiply supported secondary systems. Earthquake Engineering and Structural Dynamics, ISSN 1096–9845, 14(2), 245–265 (1986).
[11] Luis Suárez and M. P. Singh. Floor response spectra with structure–equipment interaction effects by a mode synthesis approach. Earthquake Engineering and Structural Dynamics, ISSN 1096–9845, 15(2), 141–158 (1987).
[12] L. E. Suárez and M. P. Singh. Eigenproperties of non-classically damped primary structure and equipment systems by a perturbation approach. Earthquake Engineering and Structural Dynamics, ISSN 1096–9845, 15(5), 565–583 (1987).
[13] Mahendra P. Singh and Luis E. Su´arez. Seismic response analysis of structure–equipment systems with non–classical damping effects. Earthquake Engineering and Structural Dynamics, ISSN 1096–9845, 15(7), 871–888 (1987).
[14] G. Falsone, G. Muscolino and G. Ricciardi. Combined dynamic response of primary and multiply connected cascaded secondary subsystems. Earthquake Engineering and Structural Dynamics, ISSN 1096–9845, 20(8), 749–767 (1991).
[15] G. Falsone, G. Muscolino and G. Ricciardi. Stochastic response of combined primary–secondary structures under seismic input . Earthquake Engineering and Structural Dynamics, ISSN 1096–9845, 21(11), 927–943 (1992).
[16] F. Valladares. Análisis dinámico de estructuras con equipos livianos. Memoria para optar al título de Ingeniero Civil. Universidad de Concepción, 1992.
[17] J. Crempien y E. Aravena. Análisis dinámico de estructuras con equipos livianos . Revista internacional de métodos numéricos para cálculo y diseño en ingeniería, ISSN 0213–1315, 8(4), 407–416 (1992).
[18] J. S. Przemieniecki. Theory of matrix structural analysis, ISBN 0486649482.Mc Graw–Hill, 150–163, 278–287 (1985).
[19] R. W. Clough and J. Penzien. Dynamics of structures, ISBN 0–07–011392–0. Mc Graw–Hill, 156–167 (1975).
[20] José M. Goicolea. Análisis sísmico de estructuras: dinámica estructural. Departamento Mecánica de medios continuos y teoría de estructuras Universidad Politécnica de Madrid, 2003.